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  • 标题:Time delay induced Hopf bifurcation in a diffusive predator–prey model with prey toxicity
  • 本地全文:下载
  • 作者:Ruizhi Yang ; Yuxin Ma ; Chiyu Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03161-3
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider a diffusive predator–prey model with a time delay and prey toxicity. The effect of time delay on the stability of the positive equilibrium is studied by analyzing the eigenvalue spectrum. Delay-induced Hopf bifurcation is also investigated. By utilizing the normal form method and center manifold reduction for partial functional differential equations, the formulas for determining the property of Hopf bifurcation are given.
  • 关键词:Predator–prey; Delay; Stability; Hopf bifurcation
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